计算复杂性问题的算术理论

Q4 Mathematics
Steve Homer , John Reif
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引用次数: 3

摘要

本文考虑了一些算术理论,并说明了这些理论的强度如何与复杂性理论中有关多项式-时间层次的某些开放问题相关联。这些结果得到了相当普遍的证明,并适用于大量的子递归层次结构。它们可以用来描述在这些理论中可证明的函数的某些性质。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Arithmetic theories for computational complexity problems

This paper considers a number of arithmetic theories and shows how the strength of these theories relates to certain open problems in complexity theory concerning the polynomial-time hierarchy. These results are proved quite generally and hold for a wide class of subrecursive hierarchies. They can be used to characterize certain properties of functions provable in these theories.

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来源期刊
信息与控制
信息与控制 Mathematics-Control and Optimization
CiteScore
1.50
自引率
0.00%
发文量
4623
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